Abstract We investigate the existence of multiple solutions for a low-dimensional Neumann problem with non-standard growth set on a strip-like domain of R n . Variational techniques, depending in particular on a minimax theorem and a version of the principle of symmetric criticality, are employed to establish the existence of three non-zero solutions endowed with axial symmetry. Some consequences are also derived.

中文翻译：

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具有三个对称解的低维非齐次椭圆问题

摘要 我们研究了在 R n 的条状域上具有非标准增长集的低维诺依曼问题的多个解的存在性。变分技术，尤其取决于极大极小定理和对称临界性原理的一个版本，被用来建立三个具有轴对称性的非零解的存在性。也衍生出一些后果。